On the positivity of black hole degeneracies in string theory

2012/08/16 by Kathrin Bringmann, Sameer Murthy, Bringmann, Kathrin +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1208.3476

openalex publication_date 2012/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Certain helicity trace indices of charged states in N=4 and N=8 superstring theory have been computed exactly using their explicit weakly coupled microscopic description. These indices are expected to count the exact quantum degeneracies of black holes carrying the same charges. In order for this interpretation to be consistent, these indices should be positive integers. We prove this positivity property for a class of four/five dimensional black holes in type II string theory compactified on T⁶/T⁵ and on K3 × T²/S¹. The proof relies on the mock modular properties of the corresponding generating functions.

Citations

• The f(q) mock theta function conjecture and partition ranks

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